A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A gx= Ixy Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(31) from the horizontal axis representing the diameter line. 1500 N 24.5 Mpa -24.3 Mpa 600 N 100 N-m 50.6 Mpa 200 mm 14.6 Mpa 30.2 Mpa -7.3 Mpa 800 N 100 mm B

A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A gx= Ixy Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(31) from the horizontal axis representing the diameter line. 1500 N 24.5 Mpa -24.3 Mpa 600 N 100 N-m 50.6 Mpa 200 mm 14.6 Mpa 30.2 Mpa -7.3 Mpa 800 N 100 mm B

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A.
ox=
Ixy
Given:
The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4.
The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2.
The centroid of a semi-circle is located at 4R/(31) from the horizontal axis representing the diameter line.
1500 N
600 N
24.5 Mpa
-24.3 Mpa
50.6 Mpa
14.6 Mpa 30.2 Mpa -73 Mpa
200 mm
100 N-m
800 N
100 mm
B

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